Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900j |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-21280159043750000 = -1 · 24 · 58 · 237 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136658,-20718187] |
[a1,a2,a3,a4,a6] |
Generators |
[174907447:4505694625:205379] |
Generators of the group modulo torsion |
j |
-7626496/575 |
j-invariant |
L |
6.6849133766977 |
L(r)(E,1)/r! |
Ω |
0.12361849977737 |
Real period |
R |
13.519241433733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580c1 2300d1 |
Quadratic twists by: 5 -23 |